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Finding the Fourth Proportional to 386,046.40, 578,875.20 and 228,323.20

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Solution

The fourth proportional to 386,046.40, 578,875.20 and 228,323.20 is: 342,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,046.40 : 578,875.20 = 228,323.20 : x
  2. Step 2: Convert to fraction form
    386,046.40/578,875.20 = 228,323.20/x
  3. Step 3: Cross multiply
    386,046.40x = 578,875.20 × 228,323.20
  4. Step 4: Simplify right side
    386,046.40x = 132,170,638,064.64
  5. Step 5: Solve for x
    x = 132,170,638,064.64/386,046.40
  6. Step 6: Final answer
    x = 342,369.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.